This paper proposes a new public key encryption scheme. It is based on the difficulty of deducing x and y from A and B = x · A · y in a specific monoid (m, ·) which is noncommutative. So we select and do research work on the certain monoid which is formed by all the n × n matrices over finite field F? under multiplication. By the cryptographic properties of an "ergodic matrix", we propose a hard problem based on the ergodic matrices over F2, and use it construct a public key encryption scheme. © Springer-Verlag Berlin Heidelberg 2007.
CITATION STYLE
Pei, S. H., Zhao, Y. Z., & Zhao, H. W. (2007). Construct public key encryption scheme using ergodic matrices over GF(2). In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 4484 LNCS, pp. 181–188). https://doi.org/10.1007/978-3-540-72504-6_16
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